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Finding the Fourth Proportional to 201.94, 302.84 and 57.66

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Solution

The fourth proportional to 201.94, 302.84 and 57.66 is: 86.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.94 : 302.84 = 57.66 : x
  2. Step 2: Convert to fraction form
    201.94/302.84 = 57.66/x
  3. Step 3: Cross multiply
    201.94x = 302.84 × 57.66
  4. Step 4: Simplify right side
    201.94x = 17,461.75
  5. Step 5: Solve for x
    x = 17,461.75/201.94
  6. Step 6: Final answer
    x = 86.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.